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Finding the Fourth Proportional to 11,871.72, 16,400.34 and 9,370.44

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Solution

The fourth proportional to 11,871.72, 16,400.34 and 9,370.44 is: 12,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.72 : 16,400.34 = 9,370.44 : x
  2. Step 2: Convert to fraction form
    11,871.72/16,400.34 = 9,370.44/x
  3. Step 3: Cross multiply
    11,871.72x = 16,400.34 × 9,370.44
  4. Step 4: Simplify right side
    11,871.72x = 153,678,401.95
  5. Step 5: Solve for x
    x = 153,678,401.95/11,871.72
  6. Step 6: Final answer
    x = 12,944.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.